import numpy as np
import matplotlib.pyplot as plt
from IPython.display import display,Math

display(Math('2\\pi \\quad \\text {radians}'))
display(Math('360 ^\\circ \\quad \\text {degrees}'))
display(Math('2\\pi = 360 ^\\circ'))
display(Math('rad. = \\frac{360}{2\\pi} = \\frac{180}{\\pi}'))
display(Math('deg. = \\frac{2\\pi}{360} = \\frac{\\pi}{180}'))

$\displaystyle 2\pi \quad \text {radians}$

$\displaystyle 360 ^\circ \quad \text {degrees}$

$\displaystyle 2\pi = 360 ^\circ$

$\displaystyle rad. = \frac{360}{2\pi} = \frac{180}{\pi}$

$\displaystyle deg. = \frac{2\pi}{360} = \frac{\pi}{180}$

deg = 800

rad = deg*np.pi/180
print(rad)
rad = rad%(2*np.pi)
print(rad)

rad = np.deg2rad(deg)
print(rad)
rad = rad%(2*np.pi)
print(rad)

print('%g degrees is %g radians.' %(deg,rad))

13.962634015954636
1.3962634015954638
13.962634015954636
1.3962634015954638
800 degrees is 1.39626 radians.

rad = 4*np.pi

deg = (180*rad/np.pi)
print(deg)
deg = deg%360
print(deg)

deg = np.rad2deg(rad)
print(deg)
deg = deg%360
print(deg)

print('%g radians is %g degrees.' %(rad, deg))

720.0
0.0
720.0
0.0
12.5664 radians is 0 degrees.